Graph forms
for C4 [ 279, 1 ] = C_279(1,125)
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On this page are computer-accessible forms for the graph C4[ 279, 1 ] =
C_279(1,125).
(I) Following is a form readable by MAGMA:
g:=Graph<279|{ {2, 3}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270,
271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259},
{256, 257}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244,
245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233},
{230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218,
219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207},
{204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192,
193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181},
{178, 179}, {176, 177}, {174, 175}, {172, 173}, {86, 87}, {84, 85}, {82, 83},
{80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67},
{64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {4, 5}, {6, 7}, {8,
9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24,
25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40,
41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {88, 89}, {90,
91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105},
{106, 107}, {108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118,
119}, {120, 121}, {122, 123}, {124, 125}, {126, 127}, {128, 129}, {130, 131},
{132, 133}, {134, 135}, {136, 137}, {138, 139}, {140, 141}, {142, 143}, {144,
145}, {146, 147}, {148, 149}, {150, 151}, {152, 153}, {154, 155}, {156, 157},
{158, 159}, {160, 161}, {162, 163}, {164, 165}, {166, 167}, {168, 169}, {170,
171}, {1, 2}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257,
258}, {253, 254}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234},
{229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205,
206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182},
{177, 178}, {173, 174}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65,
66}, {61, 62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {89,
90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117,
118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142},
{145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169,
170}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235,
236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188},
{179, 180}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27,
28}, {35, 36}, {43, 44}, {51, 52}, {91, 92}, {99, 100}, {107, 108}, {115, 116},
{123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171,
172}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {183,
184}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120},
{135, 136}, {151, 152}, {167, 168}, {15, 16}, {271, 272}, {239, 240}, {207,
208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32}, {223,
224}, {95, 96}, {159, 160}, {2, 127}, {128, 253}, {130, 255}, {1, 126}, {191,
192}, {63, 64}, {129, 254}, {3, 128}, {87, 212}, {83, 208}, {79, 204}, {75,
200}, {71, 196}, {67, 192}, {63, 188}, {59, 184}, {55, 180}, {7, 132}, {11,
136}, {15, 140}, {19, 144}, {23, 148}, {27, 152}, {31, 156}, {35, 160}, {39,
164}, {43, 168}, {47, 172}, {51, 176}, {91, 216}, {95, 220}, {99, 224}, {103,
228}, {107, 232}, {111, 236}, {115, 240}, {119, 244}, {123, 248}, {127, 252},
{4, 129}, {86, 211}, {84, 209}, {78, 203}, {76, 201}, {70, 195}, {68, 193}, {62,
187}, {60, 185}, {54, 179}, {6, 131}, {12, 137}, {14, 139}, {20, 145}, {22,
147}, {28, 153}, {30, 155}, {36, 161}, {38, 163}, {44, 169}, {46, 171}, {52,
177}, {92, 217}, {94, 219}, {100, 225}, {102, 227}, {108, 233}, {110, 235},
{116, 241}, {118, 243}, {124, 249}, {126, 251}, {5, 130}, {85, 210}, {77, 202},
{69, 194}, {61, 186}, {13, 138}, {21, 146}, {29, 154}, {37, 162}, {45, 170},
{53, 178}, {93, 218}, {101, 226}, {109, 234}, {117, 242}, {125, 250}, {8, 133},
{74, 199}, {72, 197}, {58, 183}, {56, 181}, {10, 135}, {24, 149}, {26, 151},
{40, 165}, {42, 167}, {88, 213}, {90, 215}, {104, 229}, {106, 231}, {120, 245},
{122, 247}, {9, 134}, {73, 198}, {57, 182}, {25, 150}, {41, 166}, {89, 214},
{105, 230}, {121, 246}, {1, 155}, {69, 223}, {68, 222}, {65, 219}, {64, 218},
{4, 158}, {5, 159}, {32, 186}, {33, 187}, {36, 190}, {37, 191}, {96, 250}, {97,
251}, {100, 254}, {101, 255}, {16, 141}, {82, 207}, {80, 205}, {18, 143}, {48,
173}, {50, 175}, {112, 237}, {114, 239}, {2, 156}, {67, 221}, {66, 220}, {3,
157}, {34, 188}, {35, 189}, {98, 252}, {99, 253}, {17, 142}, {81, 206}, {49,
174}, {113, 238}, {6, 160}, {87, 241}, {86, 240}, {79, 233}, {78, 232}, {71,
225}, {70, 224}, {7, 161}, {14, 168}, {15, 169}, {22, 176}, {23, 177}, {30,
184}, {31, 185}, {94, 248}, {95, 249}, {8, 162}, {77, 231}, {76, 230}, {73,
227}, {72, 226}, {9, 163}, {12, 166}, {13, 167}, {24, 178}, {25, 179}, {28,
182}, {29, 183}, {88, 242}, {89, 243}, {92, 246}, {93, 247}, {10, 164}, {75,
229}, {74, 228}, {11, 165}, {26, 180}, {27, 181}, {90, 244}, {91, 245}, {16,
170}, {85, 239}, {84, 238}, {81, 235}, {80, 234}, {17, 171}, {20, 174}, {21,
175}, {32, 157}, {34, 159}, {96, 221}, {98, 223}, {18, 172}, {83, 237}, {82,
236}, {19, 173}, {33, 158}, {97, 222}, {38, 192}, {63, 217}, {62, 216}, {55,
209}, {54, 208}, {39, 193}, {46, 200}, {47, 201}, {40, 194}, {61, 215}, {60,
214}, {57, 211}, {56, 210}, {41, 195}, {44, 198}, {45, 199}, {42, 196}, {59,
213}, {58, 212}, {43, 197}, {48, 202}, {49, 203}, {52, 206}, {53, 207}, {64,
189}, {66, 191}, {50, 204}, {51, 205}, {65, 190}, {127, 128}, {1, 279}, {102,
256}, {103, 257}, {110, 264}, {111, 265}, {118, 272}, {119, 273}, {104, 258},
{105, 259}, {108, 262}, {109, 263}, {120, 274}, {121, 275}, {124, 278}, {125,
279}, {106, 260}, {107, 261}, {122, 276}, {123, 277}, {112, 266}, {113, 267},
{116, 270}, {117, 271}, {114, 268}, {115, 269}, {131, 256}, {135, 260}, {139,
264}, {143, 268}, {147, 272}, {151, 276}, {132, 257}, {134, 259}, {140, 265},
{142, 267}, {148, 273}, {150, 275}, {133, 258}, {141, 266}, {149, 274}, {136,
261}, {138, 263}, {152, 277}, {154, 279}, {137, 262}, {153, 278}, {144, 269},
{146, 271}, {145, 270}, {255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 155)(3, 30)(4, 184)(5, 59)(6, 213)(7, 88)(8, 242)(9, 117)(10, 271)(11,
146)(12, 21)(13, 175)(14, 50)(15, 204)(16, 79)(17, 233)(18, 108)(19, 262)(20,
137)(22, 166)(23, 41)(24, 195)(25, 70)(26, 224)(27, 99)(28, 253)(29, 128)(31,
157)(33, 186)(34, 61)(35, 215)(36, 90)(37, 244)(38, 119)(39, 273)(40, 148)(42,
177)(43, 52)(44, 206)(45, 81)(46, 235)(47, 110)(48, 264)(49, 139)(51, 168)(53,
197)(54, 72)(55, 226)(56, 101)(57, 255)(58, 130)(60, 159)(62, 188)(64, 217)(65,
92)(66, 246)(67, 121)(68, 275)(69, 150)(71, 179)(73, 208)(74, 83)(75, 237)(76,
112)(77, 266)(78, 141)(80, 170)(82, 199)(84, 228)(85, 103)(86, 257)(87, 132)(89,
161)(91, 190)(93, 219)(95, 248)(96, 123)(97, 277)(98, 152)(100, 181)(102,
210)(104, 239)(105, 114)(106, 268)(107, 143)(109, 172)(111, 201)(113, 230)(115,
259)(116, 134)(118, 163)(120, 192)(122, 221)(124, 250)(126, 279)(127, 154)(129,
183)(131, 212)(133, 241)(135, 270)(136, 145)(138, 174)(140, 203)(142, 232)(144,
261)(147, 165)(149, 194)(151, 223)(153, 252)(158, 185)(160, 214)(162, 243)(164,
272)(167, 176)(169, 205)(171, 234)(173, 263)(178, 196)(180, 225)(182, 254)(189,
216)(191, 245)(193, 274)(198, 207)(200, 236)(202, 265)(209, 227)(211, 256)(220,
247)(222, 276)(229, 238)(231, 267)(240, 258)(251, 278)(260, 269) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (2, 126)(3, 251)(4, 97)(5, 222)(6, 68)(7, 193)(8, 39)(9, 164)(11, 135)(12,
260)(13, 106)(14, 231)(15, 77)(16, 202)(17, 48)(18, 173)(20, 144)(21, 269)(22,
115)(23, 240)(24, 86)(25, 211)(26, 57)(27, 182)(29, 153)(30, 278)(31, 124)(32,
249)(33, 95)(34, 220)(35, 66)(36, 191)(38, 162)(40, 133)(41, 258)(42, 104)(43,
229)(44, 75)(45, 200)(47, 171)(49, 142)(50, 267)(51, 113)(52, 238)(53, 84)(54,
209)(56, 180)(58, 151)(59, 276)(60, 122)(61, 247)(62, 93)(63, 218)(65, 189)(67,
160)(69, 131)(70, 256)(71, 102)(72, 227)(74, 198)(76, 169)(78, 140)(79, 265)(80,
111)(81, 236)(83, 207)(85, 178)(87, 149)(88, 274)(89, 120)(90, 245)(92, 216)(94,
187)(96, 158)(98, 129)(99, 254)(101, 225)(103, 196)(105, 167)(107, 138)(108,
263)(110, 234)(112, 205)(114, 176)(116, 147)(117, 272)(119, 243)(121, 214)(123,
185)(125, 156)(128, 252)(130, 223)(132, 194)(134, 165)(137, 261)(139, 232)(141,
203)(143, 174)(146, 270)(148, 241)(150, 212)(152, 183)(155, 279)(157, 250)(159,
221)(161, 192)(166, 259)(168, 230)(170, 201)(175, 268)(177, 239)(179, 210)(184,
277)(186, 248)(188, 219)(195, 257)(197, 228)(204, 266)(206, 237)(213, 275)(215,
246)(224, 255)(233, 264)(242, 273)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279)
C4[ 279, 1 ]
279
-1 155 2 279 126
-2 1 156 3 127
-3 2 157 4 128
-4 3 158 5 129
-5 4 159 6 130
-6 5 160 7 131
-7 132 6 161 8
-8 133 7 162 9
-9 134 8 163 10
-10 11 135 9 164
-11 165 12 136 10
-12 11 166 13 137
-13 12 167 14 138
-14 13 168 15 139
-15 14 169 16 140
-16 15 170 17 141
-17 16 171 18 142
-18 143 17 172 19
-19 144 18 173 20
-20 145 19 174 21
-21 22 146 20 175
-22 176 23 147 21
-23 22 177 24 148
-24 23 178 25 149
-25 24 179 26 150
-26 25 180 27 151
-27 26 181 28 152
-28 27 182 29 153
-29 154 28 183 30
-30 155 29 184 31
-31 156 30 185 32
-32 33 157 31 186
-33 187 34 158 32
-34 33 188 35 159
-35 34 189 36 160
-36 35 190 37 161
-37 36 191 38 162
-38 37 192 39 163
-39 38 193 40 164
-40 165 39 194 41
-41 166 40 195 42
-42 167 41 196 43
-43 44 168 42 197
-44 198 45 169 43
-45 44 199 46 170
-46 45 200 47 171
-47 46 201 48 172
-48 47 202 49 173
-49 48 203 50 174
-50 49 204 51 175
-51 176 50 205 52
-52 177 51 206 53
-53 178 52 207 54
-54 55 179 53 208
-55 209 56 180 54
-56 55 210 57 181
-57 56 211 58 182
-58 57 212 59 183
-59 58 213 60 184
-60 59 214 61 185
-61 60 215 62 186
-62 187 61 216 63
-63 188 62 217 64
-64 189 63 218 65
-65 66 190 64 219
-66 220 67 191 65
-67 66 221 68 192
-68 67 222 69 193
-69 68 223 70 194
-70 69 224 71 195
-71 70 225 72 196
-72 71 226 73 197
-73 198 72 227 74
-74 199 73 228 75
-75 200 74 229 76
-76 77 201 75 230
-77 231 78 202 76
-78 77 232 79 203
-79 78 233 80 204
-80 79 234 81 205
-81 80 235 82 206
-82 81 236 83 207
-83 82 237 84 208
-84 209 83 238 85
-85 210 84 239 86
-86 211 85 240 87
-87 88 212 86 241
-88 242 89 213 87
-89 88 243 90 214
-90 89 244 91 215
-91 90 245 92 216
-92 91 246 93 217
-93 92 247 94 218
-94 93 248 95 219
-95 220 94 249 96
-96 221 95 250 97
-97 222 96 251 98
-98 99 223 97 252
-99 253 100 224 98
-100 99 254 101 225
-101 100 255 102 226
-102 101 256 103 227
-103 102 257 104 228
-104 103 258 105 229
-105 104 259 106 230
-106 231 105 260 107
-107 232 106 261 108
-108 233 107 262 109
-109 110 234 108 263
-110 264 111 235 109
-111 110 265 112 236
-112 111 266 113 237
-113 112 267 114 238
-114 113 268 115 239
-115 114 269 116 240
-116 115 270 117 241
-117 242 116 271 118
-118 243 117 272 119
-119 244 118 273 120
-120 121 245 119 274
-121 275 122 246 120
-122 121 276 123 247
-123 122 277 124 248
-124 123 278 125 249
-125 124 279 126 250
-126 1 125 127 251
-127 2 126 128 252
-128 253 3 127 129
-129 254 4 128 130
-130 255 5 129 131
-131 132 256 6 130
-132 133 257 7 131
-133 132 134 258 8
-134 133 135 259 9
-135 134 136 260 10
-136 11 135 137 261
-137 12 136 138 262
-138 13 137 139 263
-139 264 14 138 140
-140 265 15 139 141
-141 266 16 140 142
-142 143 267 17 141
-143 144 268 18 142
-144 143 145 269 19
-145 144 146 270 20
-146 145 147 271 21
-147 22 146 148 272
-148 23 147 149 273
-149 24 148 150 274
-150 275 25 149 151
-151 276 26 150 152
-152 277 27 151 153
-153 154 278 28 152
-154 155 279 29 153
-155 154 1 156 30
-156 155 2 157 31
-157 156 3 158 32
-158 33 157 4 159
-159 34 158 5 160
-160 35 159 6 161
-161 36 160 7 162
-162 37 161 8 163
-163 38 162 9 164
-164 165 39 163 10
-165 11 166 40 164
-166 165 12 167 41
-167 166 13 168 42
-168 167 14 169 43
-169 44 168 15 170
-170 45 169 16 171
-171 46 170 17 172
-172 47 171 18 173
-173 48 172 19 174
-174 49 173 20 175
-175 176 50 174 21
-176 22 177 51 175
-177 176 23 178 52
-178 177 24 179 53
-179 178 25 180 54
-180 55 179 26 181
-181 56 180 27 182
-182 57 181 28 183
-183 58 182 29 184
-184 59 183 30 185
-185 60 184 31 186
-186 187 61 185 32
-187 33 188 62 186
-188 187 34 189 63
-189 188 35 190 64
-190 189 36 191 65
-191 66 190 37 192
-192 67 191 38 193
-193 68 192 39 194
-194 69 193 40 195
-195 70 194 41 196
-196 71 195 42 197
-197 198 72 196 43
-198 44 199 73 197
-199 198 45 200 74
-200 199 46 201 75
-201 200 47 202 76
-202 77 201 48 203
-203 78 202 49 204
-204 79 203 50 205
-205 80 204 51 206
-206 81 205 52 207
-207 82 206 53 208
-208 209 83 207 54
-209 55 210 84 208
-210 209 56 211 85
-211 210 57 212 86
-212 211 58 213 87
-213 88 212 59 214
-214 89 213 60 215
-215 90 214 61 216
-216 91 215 62 217
-217 92 216 63 218
-218 93 217 64 219
-219 220 94 218 65
-220 66 221 95 219
-221 220 67 222 96
-222 221 68 223 97
-223 222 69 224 98
-224 99 223 70 225
-225 100 224 71 226
-226 101 225 72 227
-227 102 226 73 228
-228 103 227 74 229
-229 104 228 75 230
-230 231 105 229 76
-231 77 232 106 230
-232 231 78 233 107
-233 232 79 234 108
-234 233 80 235 109
-235 110 234 81 236
-236 111 235 82 237
-237 112 236 83 238
-238 113 237 84 239
-239 114 238 85 240
-240 115 239 86 241
-241 242 116 240 87
-242 88 243 117 241
-243 242 89 244 118
-244 243 90 245 119
-245 244 91 246 120
-246 121 245 92 247
-247 122 246 93 248
-248 123 247 94 249
-249 124 248 95 250
-250 125 249 96 251
-251 126 250 97 252
-252 253 127 251 98
-253 99 254 128 252
-254 253 100 255 129
-255 254 101 256 130
-256 255 102 257 131
-257 132 256 103 258
-258 133 257 104 259
-259 134 258 105 260
-260 135 259 106 261
-261 136 260 107 262
-262 137 261 108 263
-263 264 138 262 109
-264 110 265 139 263
-265 264 111 266 140
-266 265 112 267 141
-267 266 113 268 142
-268 143 267 114 269
-269 144 268 115 270
-270 145 269 116 271
-271 146 270 117 272
-272 147 271 118 273
-273 148 272 119 274
-274 275 149 273 120
-275 121 276 150 274
-276 275 122 277 151
-277 276 123 278 152
-278 277 124 279 153
-279 154 1 278 125
0